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denpristay [2]
2 years ago
11

Two straight lines have equations y = p x + 4 y = p x + 4 and p y = q x − 7 p y = q x − 7 , where p p and q q are constants. The

two lines meet at the point ( 3 , 1 ) ( 3 , 1 ) . What is the value of q q ?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

q = \frac{8}{3}

Step-by-step explanation:

The point of intersection (3, 1 ) is the solution to both equations

Using

y = qx - 7 and substituting x = 3, y = 1

1 = 3q - 7 ( add 7 to both sides )

8 = 3q ( divide both sides by 3 )

\frac{8}{3} = q

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What is the least positive integer divisible by the numbers 2, 4, and 7?
Viefleur [7K]

Answer:

Least positive integer divisible by the numbers 2, 4, and 7 is  28

Step-by-step explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

Prime Factorization of 2

2 is prime  =>  2^1

Prime Factorization of 4 is:

2 x 2  =>  2^2

Prime Factorization of 7 is:

7 is prime  => 7^1

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 7 = 28

7 0
3 years ago
Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for
Talja [164]

Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

3 0
1 year ago
I NEED HELP ASAP! Will give brainliest!!!<br><br> RANDOM ANSWERS WILL BE MODERATED
Salsk061 [2.6K]
You need to prove that <A = <E
since c is the midpoint of line AE then AC = EC
i dont remember the name of the theroem that states that when a triangle has two sides and an angle in common that it is congruent i think it called SAS congruence therom. use that to prove that the <| s are congruent then use CPCTC to prove that <A = <E. then prove that they are || by usint the int angle therom.
3 0
2 years ago
Match each number on the left with the correct description of the number on the right 3 1/2
tankabanditka [31]

Answer:

150 and -2 are integers

6.6 and -1/2 are rational numbers

-√3 is an irrational number

Step-by-step explanation:

5 0
2 years ago
Plllsssss help<br><br><br><br><br> –2(r – 3) + 7 ≥ 8
mr_godi [17]

Hi there! :)

<u>Answer:</u>

r ≤ 2.5


Step-by-step explanation:

<u>-2</u>(r - 3) + 7 ≥ 8

Distribute the "-2" to the entire parentheses → -2 × r = <u>-2r</u>  &  -2 × -3 = <u>6</u>

-2r <u>+ 6</u> <u>+ 7</u> ≥ 8

Add the similar terms together → 6 + 7 = <u>13</u>

-2r <u>+ 13</u> ≥ 8

Subtract "13" from each side of the inequality → 8 - 13 = <u>-5</u>

<u>-2</u>r ≥ -5

Divide each side of the inequality by "-2" → -5 ÷ -2 = <u>2.5</u>

<u>r ≤ 2.5</u> ⇒ Whenever you divide an inequality by a negative number, you must flip the inequality sign!!


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
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